diff --git "a/pages/knowledge.json" "b/pages/knowledge.json" --- "a/pages/knowledge.json" +++ "b/pages/knowledge.json" @@ -1 +1,2093 @@ -{"version":"1.0.0","byline":"Lutar, Stephen P.","orcid":"0009-0001-0110-4173","email":"stephen@szlholdings.com","org":"SZL Holdings","generated_at":"2026-05-15T16:30:00Z","axioms":[{"id":"A1","name":"soundnessAxiom","statement":"For any receipt r, if gate_pass(r) then lambda(r) >= 0.90 conjunctively","source_file":"thesis.md","source_section":"§4.1","maturity":"proven","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A2","name":"moralGroundingFloor","statement":"moralGrounding axis floor = 0.95 (higher than default 0.90)","source_file":"thesis.md","source_section":"§4.1","maturity":"defined","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A3","name":"measurabilityHonestyFloor","statement":"measurabilityHonesty axis floor = 0.95","source_file":"thesis.md","source_section":"§4.1","maturity":"defined","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A4","name":"dualWitnessDisjointness","statement":"For rho-closure: witness_1_id != witness_2_id (enforced by registry at write time)","source_file":"thesis.md","source_section":"§4.3","maturity":"proven","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A5","name":"deterministicReplay","statement":"For canonical JSON + pinned PRNG + frozen registry, 5x replay yields byte-identical roots","source_file":"thesis.md","source_section":"§4.6","maturity":"measured","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A6","name":"hashChainIntegrity","statement":"Every spine entry hash-chain invariant: entry.chain = SHA256(prev_entry)","source_file":"thesis.md","source_section":"§3.4","maturity":"defined","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A7","name":"bekensteinBound","statement":"Receipt chain entropy H(R_n) bounded by information-theoretic limit from registry area","source_file":"thesis.md","source_section":"§4.5","maturity":"conjectured","citation":"https://doi.org/10.5281/zenodo.19944926"},{"id":"A8","name":"ingestDiscipline","statement":"Every ingest requires: source_url + content_hash + license (allow-list) + ORCID","source_file":"thesis.md","source_section":"§7","maturity":"defined","citation":"https://doi.org/10.5281/zenodo.20119582"},{"id":"A9","name":"doctrineCompleteness","statement":"doctrine.json v1.0.0 enumerates all 8 forbidden patterns; SHA-anchored","source_file":"szl-trust/doctrine.json","source_section":"§8","maturity":"defined","citation":"https://github.com/szl-holdings/szl-trust"}],"theorems":[{"id":"TH_L1","name":"Λ_uniqueness","statement":"The Lutar Invariant Λ_k as weighted geometric mean with Egyptian unit-fraction weights is unique given the four axioms","source_file":"lutar-lean/Lutar/Uniqueness.lean","maturity":"proven","citation":"https://doi.org/10.5281/zenodo.20053148"},{"id":"TH_L2","name":"Λ_min_max_bounds","statement":"Λ_k lies in [0,1] with min=0 iff any axis=0 and max=1 iff all axes=1","source_file":"lutar-lean/Lutar/Bound.lean","maturity":"proven","citation":"https://doi.org/10.5281/zenodo.20053148"},{"id":"TH_L3","name":"bekenstein_soundness","statement":"Bekenstein indicator fires at 49.5% under uniform seed (measured); formal proof pending in lutar-lean","source_file":"lutar-lean (pending PR #12)","maturity":"measured/conjectured","citation":"https://github.com/szl-holdings/lutar-lean"},{"id":"TH_L4","name":"rho_closure_production","statement":"100% rho-closure on 8,000/8,000 paired calls under v11 platform","source_file":"ouroboros v6.3.0 release","maturity":"measured","citation":"https://doi.org/10.5281/zenodo.20119582"}],"formulas":[{"id":"F0001","source_file":"thesis.md","source_line":27,"latex":"\\mathcal{S} = \\langle R, A, E, \\Lambda, \\rho, W \\rangle","context":"ith a doctrine-locked runtime** as a category-defining primitive for verifiable agency. We define the system as a tuple \\( \\mathcal{S} = \\langle R, A, E, \\Lambd","source_id":"thesis_session"},{"id":"F0002","source_file":"thesis.md","source_line":229,"latex":"\\mathtt{szl\\text{-}trust}","context":"d system. - \\(A\\) — the set of **named actors**. Every actor in \\(A\\) carries a stable identity resolvable to a key in \\(\\mathtt{szl\\text{-}trust}\\). No edge i","source_id":"thesis_session"},{"id":"F0003","source_file":"thesis.md","source_line":231,"latex":"e \\in E","context":"and resolvable — unidentified actors are structurally excluded. - \\(E\\) — the set of **receipt-bound edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},","source_id":"thesis_session"},{"id":"F0004","source_file":"thesis.md","source_line":231,"latex":"(a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)","context":"ntified actors are structurally excluded. - \\(E\\) — the set of **receipt-bound edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r","source_id":"thesis_session"},{"id":"F0005","source_file":"thesis.md","source_line":231,"latex":"a_{\\text{src}} \\in A","context":"d edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src","source_id":"thesis_session"},{"id":"F0006","source_file":"thesis.md","source_line":231,"latex":"r_{\\text{src}}, r_{\\text{dst}} \\in R","context":"E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\),","source_id":"thesis_session"},{"id":"F0007","source_file":"thesis.md","source_line":231,"latex":"\\varepsilon","context":"src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\), and \\(\\varepsilon\\) is the receipt envelope ","source_id":"thesis_session"},{"id":"F0008","source_file":"thesis.md","source_line":231,"latex":"\\varepsilon","context":"repsilon\\) is the receipt envelope defined in §3.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) — the **","source_id":"thesis_session"},{"id":"F0009","source_file":"thesis.md","source_line":233,"latex":"\\Lambda","context":"ceipt envelope defined in §3.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) — the **composable axis-gati","source_id":"thesis_session"},{"id":"F0010","source_file":"thesis.md","source_line":233,"latex":"\\Lambda : [0,1]^k \\to \\{0,1\\}","context":"boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,1]^k \\to \\{0,1\\}\\) for \\(","source_id":"thesis_session"},{"id":"F0011","source_file":"thesis.md","source_line":233,"latex":"k \\geq 9","context":"varepsilon\\). - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,1]^k \\to \\{0,1\\}\\) for \\(k \\geq 9\\), defined as the conjunctive","source_id":"thesis_session"},{"id":"F0012","source_file":"thesis.md","source_line":239,"latex":"\\mathbf{x}","context":"bilityHonesty}} \\geq 0.95 \\] The composability property states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their","source_id":"thesis_session"},{"id":"F0013","source_file":"thesis.md","source_line":239,"latex":"\\mathbf{y}","context":"q 0.95 \\] The composability property states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\L","source_id":"thesis_session"},{"id":"F0014","source_file":"thesis.md","source_line":239,"latex":"\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})","context":"rty states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\","source_id":"thesis_session"},{"id":"F0015","source_file":"thesis.md","source_line":239,"latex":"\\Lambda(\\mathbf{x}) \\wedge \\Lambda(\\mathbf{y})","context":"ctors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\) is equivalent to \\(\\Lambda(\\mathbf{x}) \\wedge \\Lambda(\\ma","source_id":"thesis_session"},{"id":"F0016","source_file":"thesis.md","source_line":239,"latex":"\\Lambda","context":"— gate composition does not weaken the invariant. The `lutar-lean` skeleton repository contains the Lean 4 statement of \\(\\Lambda\\) uniqueness: given the four a","source_id":"thesis_session"},{"id":"F0017","source_file":"thesis.md","source_line":239,"latex":"\\Lambda","context":"ment of \\(\\Lambda\\) uniqueness: given the four axioms (A1 monotonicity, A2 homogeneity, A3 Egyptian-exact, A4 bounded), \\(\\Lambda\\) is the *unique* function sat","source_id":"thesis_session"},{"id":"F0018","source_file":"thesis.md","source_line":241,"latex":"\\rho(e)","context":"arget is zero. - \\(\\rho\\) — the **dual-witness closure relation**. For any edge \\(e\\) carrying execution result \\(v\\), \\(\\rho(e)\\) holds iff two independent wi","source_id":"thesis_session"},{"id":"F0019","source_file":"thesis.md","source_line":241,"latex":"w_1, w_2 \\in W","context":"closure relation**. For any edge \\(e\\) carrying execution result \\(v\\), \\(\\rho(e)\\) holds iff two independent witnesses \\(w_1, w_2 \\in W\\) each produce byte-ide","source_id":"thesis_session"},{"id":"F0020","source_file":"thesis.md","source_line":251,"latex":"\\mathcal{S}","context":"uroboros` core + 4 `a11oy` covenant), while the full upstream runtime suite registers 218/218 passing tests. The tuple \\(\\mathcal{S}\\) is **doctrine-locked**: ","source_id":"thesis_session"},{"id":"F0021","source_file":"thesis.md","source_line":251,"latex":"\\Lambda","context":"which (a) a region is unnamed, (b) an actor is not in \\(A\\), (c) an edge is produced without a receipt envelope, or (d) \\(\\Lambda\\) is evaluated below threshold","source_id":"thesis_session"},{"id":"F0022","source_file":"thesis.md","source_line":251,"latex":"\\mathcal{S}","context":"ithout a receipt envelope, or (d) \\(\\Lambda\\) is evaluated below threshold does not constitute a valid instantiation of \\(\\mathcal{S}\\). --- ## The 8-Region A","source_id":"thesis_session"},{"id":"F0023","source_file":"thesis.md","source_line":257,"latex":"\\mathcal{S}","context":"of \\(R\\) are enumerated below. For each region the presentation gives: the repository identifier, its role in the tuple \\(\\mathcal{S}\\), its public interfaces, ","source_id":"thesis_session"},{"id":"F0024","source_file":"thesis.md","source_line":265,"latex":"\\mathcal{S}","context":"released 2026-05-13; concept DOI `10.5281/zenodo.19944926`, v11 paper DOI `10.5281/zenodo.20119582`) **Formal role in \\(\\mathcal{S}\\):** The Brain Stem is the ","source_id":"thesis_session"},{"id":"F0025","source_file":"thesis.md","source_line":265,"latex":"\\Lambda","context":"DOI `10.5281/zenodo.20119582`) **Formal role in \\(\\mathcal{S}\\):** The Brain Stem is the runtime kernel that evaluates \\(\\Lambda\\) and emits receipts. Every ed","source_id":"thesis_session"},{"id":"F0026","source_file":"thesis.md","source_line":268,"latex":"\\Lambda","context":"bda(axes: number[9|10]) → Receipt` — evaluates the conjunctive AND gate and returns a signed receipt with the composite \\(\\Lambda\\) score, Bekenstein budget, an","source_id":"thesis_session"},{"id":"F0027","source_file":"thesis.md","source_line":274,"latex":"\\Lambda","context":"chain root for third-party verification. **Dependencies:** - Depends on: `lutar-lean` (Skeleton) — the axiom set that \\(\\Lambda\\) is required to satisfy is for","source_id":"thesis_session"},{"id":"F0028","source_file":"thesis.md","source_line":277,"latex":"\\Lambda_9","context":"utbound edge must call `evaluate_lambda` before the edge enters \\(E\\). The gate composition benchmark for v6.3.0 shows \\(\\Lambda_9\\) base p50 = 3.12 µs and com","source_id":"thesis_session"},{"id":"F0029","source_file":"thesis.md","source_line":285,"latex":"\\mathcal{S}","context":"a continuous supply-chain security posture. --- ### Heart — `a11oy` **Repo:** `szl-holdings/a11oy` **Formal role in \\(\\mathcal{S}\\):** The Heart is the cove","source_id":"thesis_session"},{"id":"F0030","source_file":"thesis.md","source_line":285,"latex":"\\mathcal{S}","context":"\\):** The Heart is the covenant policy engine and the agent approval queue. It governs the *authorization* dimension of \\(\\mathcal{S}\\): while the Brain Stem an","source_id":"thesis_session"},{"id":"F0031","source_file":"thesis.md","source_line":285,"latex":"\\Lambda","context":"It governs the *authorization* dimension of \\(\\mathcal{S}\\): while the Brain Stem answers \"does this action score above \\(\\Lambda\\)?\", the Heart answers \"is thi","source_id":"thesis_session"},{"id":"F0032","source_file":"thesis.md","source_line":285,"latex":"r_{\\text{dst}} \\notin R","context":"this action permitted under the active covenant?\". No action may exit the body graph — i.e., no edge in \\(E\\) may have \\(r_{\\text{dst}} \\notin R\\) — without a H","source_id":"thesis_session"},{"id":"F0033","source_file":"thesis.md","source_line":293,"latex":"\\Lambda","context":"Stem's chain. **Dependencies:** - Depends on: `ouroboros` (Brain Stem) — covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant ch","source_id":"thesis_session"},{"id":"F0034","source_file":"thesis.md","source_line":293,"latex":"\\Lambda","context":"os` (Brain Stem) — covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant check that fails \\(\\Lambda\\) is itself a gate-level viola","source_id":"thesis_session"},{"id":"F0035","source_file":"thesis.md","source_line":305,"latex":"\\mathcal{S}","context":"but a verifiable, chain-linked artifact. --- ### Wires — `sentra` **Repo:** `szl-holdings/sentra` **Formal role in \\(\\mathcal{S}\\):** The Wires are the attr","source_id":"thesis_session"},{"id":"F0036","source_file":"thesis.md","source_line":305,"latex":"\\text{attr}: E \\to A","context":"rent channel that carries signals inward and records *who observed what and when*. Formally, Wires maintain the mapping \\(\\text{attr}: E \\to A\\), ensuring that ","source_id":"thesis_session"},{"id":"F0037","source_file":"thesis.md","source_line":305,"latex":"\\mathcal{S}","context":"he mapping \\(\\text{attr}: E \\to A\\), ensuring that every edge in \\(E\\) is attributable to a named actor. Without Wires, \\(\\mathcal{S}\\) degrades: edges carry re","source_id":"thesis_session"},{"id":"F0038","source_file":"thesis.md","source_line":308,"latex":"a \\in A","context":"egal-accountability sense. **Public interfaces:** - `observe(edge, actor_id) → AttributionRecord` — records that actor \\(a \\in A\\) produced or consumed edge \\(","source_id":"thesis_session"},{"id":"F0039","source_file":"thesis.md","source_line":325,"latex":"\\mathcal{S}","context":"aft-morrow-sogomonian-exec-outcome-attest`. --- ### Spine — `amaru` **Repo:** `szl-holdings/amaru` **Formal role in \\(\\mathcal{S}\\):** The Spine is the appe","source_id":"thesis_session"},{"id":"F0040","source_file":"thesis.md","source_line":325,"latex":"\\langle e_1, e_2, \\ldots, e_n \\rangle \\subseteq E","context":"ordered, hash-verified record of every state transition across the body graph. Formally, `amaru` maintains the sequence \\(\\langle e_1, e_2, \\ldots, e_n \\rangle ","source_id":"thesis_session"},{"id":"F0041","source_file":"thesis.md","source_line":339,"latex":"O(\\log n)","context":"(identified in the runtime roadmap) would upgrade the Spine's linear hash-chain to a directed acyclic graph supporting \\(O(\\log n)\\) subset inclusion proofs — e","source_id":"thesis_session"},{"id":"F0042","source_file":"thesis.md","source_line":347,"latex":"\\mathcal{S}","context":"nce in the enterprise segment. --- ### Skeleton — `lutar-lean` **Repo:** `szl-holdings/lutar-lean` **Formal role in \\(\\mathcal{S}\\):** The Skeleton is the f","source_id":"thesis_session"},{"id":"F0043","source_file":"thesis.md","source_line":347,"latex":"\\{A1, A2, A3, A4\\}","context":"es not execute at runtime; it is the *proof that the runtime is correct*. Formally, `lutar-lean` provides the axiom set \\(\\{A1, A2, A3, A4\\}\\) and the derived t","source_id":"thesis_session"},{"id":"F0044","source_file":"thesis.md","source_line":347,"latex":"\\Lambda","context":"A2, A3, A4\\}\\) and the derived theorems (Λ uniqueness, Bound theorem) that constitute a machine-checked certificate for \\(\\Lambda\\). If the Skeleton's `sorry` c","source_id":"thesis_session"},{"id":"F0045","source_file":"thesis.md","source_line":351,"latex":"\\Lambda","context":"statements of A1 (monotonicity), A2 (homogeneity), A3 (Egyptian-exact), A4 (bounded). - `Uniqueness.lean` — Theorem 1: \\(\\Lambda\\) is the unique function satisf","source_id":"thesis_session"},{"id":"F0046","source_file":"thesis.md","source_line":367,"latex":"\\mathcal{S}","context":"*Repos:** `szl-holdings/counsel` (governance UI), `szl-holdings/terra` (dashboards and visualization) **Formal role in \\(\\mathcal{S}\\):** The Hands are the too","source_id":"thesis_session"},{"id":"F0047","source_file":"thesis.md","source_line":371,"latex":"\\Lambda","context":"as an interactive SVG, streaming live receipt counts via SSE from `/api/chain/stream`; node colors reflect the current \\(\\Lambda\\) score band (green ≥ 0.95, amb","source_id":"thesis_session"},{"id":"F0048","source_file":"thesis.md","source_line":386,"latex":"\\mathcal{S}","context":"*is* the system. --- ### Full Body — `ouroboros-thesis` **Repo:** `szl-holdings/ouroboros-thesis` **Formal role in \\(\\mathcal{S}\\):** The Full Body is the p","source_id":"thesis_session"},{"id":"F0049","source_file":"thesis.md","source_line":386,"latex":"\\mathcal{S}","context":"l Body is the public-record thesis — the DOI-pinned, versioned document that constitutes the canonical specification of \\(\\mathcal{S}\\). Formally, `ouroboros-th","source_id":"thesis_session"},{"id":"F0050","source_file":"thesis.md","source_line":405,"latex":"\\mathcal{S}","context":"d identity anchoring), `szl-holdings/szl-cookbook` (reference implementations / developer onboarding) **Formal role in \\(\\mathcal{S}\\):** The Vessels and Chakr","source_id":"thesis_session"},{"id":"F0051","source_file":"thesis.md","source_line":421,"latex":"\\varepsilon","context":"eue under the covenant pack schema. --- ## Cross-Region Contracts Every edge in \\(E\\) carries a **receipt envelope** \\(\\varepsilon\\). The envelope is a typed","source_id":"thesis_session"},{"id":"F0052","source_file":"thesis.md","source_line":421,"latex":"\\Lambda","context":"es a **receipt envelope** \\(\\varepsilon\\). The envelope is a typed, signed, content-addressed record that provides: the \\(\\Lambda\\) score vector, the dual-witne","source_id":"thesis_session"},{"id":"F0053","source_file":"thesis.md","source_line":479,"latex":"\\Lambda","context":"_lambda(axes) → Receipt` — any MCP-compatible client (Claude Desktop, Cursor, enterprise agent frameworks) can call the \\(\\Lambda\\) gate as a typed tool and rec","source_id":"thesis_session"},{"id":"F0054","source_file":"thesis.md","source_line":507,"latex":"\\mathcal{S}","context":"the 8-Region Model Structurally Surpasses the Leaders Each existing framework or protocol is a partial instantiation of \\(\\mathcal{S}\\). The gap is structural: ","source_id":"thesis_session"},{"id":"F0055","source_file":"thesis.md","source_line":515,"latex":"\\Lambda_9","context":"l engineering pattern, but skills are *files*, not services with receipts. A Brain Stem can issue a decision that fails \\(\\Lambda_9\\) moralGrounding; in the Man","source_id":"thesis_session"},{"id":"F0056","source_file":"thesis.md","source_line":515,"latex":"\\mathcal{S}","context":"fails \\(\\Lambda_9\\) moralGrounding; in the Managed Agents architecture there is no mechanism to detect or block it. In \\(\\mathcal{S}\\), that decision never exit","source_id":"thesis_session"},{"id":"F0057","source_file":"thesis.md","source_line":517,"latex":"\\Lambda","context":"ource agent framework in the TypeScript ecosystem. Mastra has no Skeleton: there are no Lean 4 proofs. It has no formal \\(\\Lambda\\) gate — behavioral constraint","source_id":"thesis_session"},{"id":"F0058","source_file":"thesis.md","source_line":567,"latex":"\\lambda_1","context":"l(\\lambda_1(c),\\, \\lambda_2(c),\\, \\ldots,\\, \\lambda_9(c)\\bigr) \\in [0,1]^9 \\] The nine axes are defined as follows. **\\(\\lambda_1\\): moralGrounding.** Measure","source_id":"thesis_session"},{"id":"F0059","source_file":"thesis.md","source_line":567,"latex":"\\lambda_1","context":"nce policies, and principal hierarchies that the operator has encoded in the agent's governing covenant. Operationally, \\(\\lambda_1\\) is the normalized cosine s","source_id":"thesis_session"},{"id":"F0060","source_file":"thesis.md","source_line":567,"latex":"[0,1]","context":"mbedding and a reference \"moral anchor\" embedding, averaged over the operator's registered covenant clauses, clamped to \\([0,1]\\). The floor constraint \\(\\lambd","source_id":"thesis_session"},{"id":"F0061","source_file":"thesis.md","source_line":567,"latex":"\\lambda_1 \\geq 0.95","context":"anchor\" embedding, averaged over the operator's registered covenant clauses, clamped to \\([0,1]\\). The floor constraint \\(\\lambda_1 \\geq 0.95\\) is a hard asympt","source_id":"thesis_session"},{"id":"F0062","source_file":"thesis.md","source_line":569,"latex":"\\lambda_2","context":"even marginally morally misaligned fails the gate irrespective of how perfectly calibrated the other eight axes are. **\\(\\lambda_2\\): measurabilityHonesty.** M","source_id":"thesis_session"},{"id":"F0063","source_file":"thesis.md","source_line":571,"latex":"\\lambda_3","context":"ine clause \"no hallucinations no bandaids; test test test\" by making measurement-honesty a prerequisite for passage. **\\(\\lambda_3\\): epistemicHumility.** Scor","source_id":"thesis_session"},{"id":"F0064","source_file":"thesis.md","source_line":571,"latex":"\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]","context":"sparse scores low on this axis. The scoring function penalizes unjustified confidence using a calibration-error analog: \\(\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf","source_id":"thesis_session"},{"id":"F0065","source_file":"thesis.md","source_line":571,"latex":"\\text{conf}(c)","context":"ied confidence using a calibration-error analog: \\(\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{conf}(c)\\) is the agent's stated","source_id":"thesis_session"},{"id":"F0066","source_file":"thesis.md","source_line":571,"latex":"\\text{acc}(c)","context":"da_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{conf}(c)\\) is the agent's stated confidence and \\(\\text{acc}(c)\\) is the empirically mea","source_id":"thesis_session"},{"id":"F0067","source_file":"thesis.md","source_line":573,"latex":"\\lambda_4","context":"is the agent's stated confidence and \\(\\text{acc}(c)\\) is the empirically measured accuracy over a calibration set. **\\(\\lambda_4\\): counterfactualAwareness.**","source_id":"thesis_session"},{"id":"F0068","source_file":"thesis.md","source_line":575,"latex":"\\lambda_5","context":"res 0.0 and a uniformly distributed consequence distribution over the operator-defined consequence space scores 1.0. **\\(\\lambda_5\\): temporalConsistency.** Me","source_id":"thesis_session"},{"id":"F0069","source_file":"thesis.md","source_line":575,"latex":"t + \\Delta","context":"Measures the stability of the gate verdict under repeated evaluation on the same input at two different times \\(t\\) and \\(t + \\Delta\\). Let \\(v_t\\) and \\(v_{t+\\","source_id":"thesis_session"},{"id":"F0070","source_file":"thesis.md","source_line":575,"latex":"v_{t+\\Delta}","context":"te verdict under repeated evaluation on the same input at two different times \\(t\\) and \\(t + \\Delta\\). Let \\(v_t\\) and \\(v_{t+\\Delta}\\) denote the Λ₉ composite","source_id":"thesis_session"},{"id":"F0071","source_file":"thesis.md","source_line":581,"latex":"\\lambda_5 = 1.0","context":"Then: \\[ \\lambda_5 = \\max\\!\\Bigl(0,\\; 1 - 4\\,\\bigl(v_t - v_{t+\\Delta}\\bigr)^2\\Bigr) \\] A zero-drift evaluation scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in ","source_id":"thesis_session"},{"id":"F0072","source_file":"thesis.md","source_line":581,"latex":"\\lambda_5 = 0.99","context":"ta}\\bigr)^2\\Bigr) \\] A zero-drift evaluation scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 = 0.99\\). A drift of 0.25 yi","source_id":"thesis_session"},{"id":"F0073","source_file":"thesis.md","source_line":581,"latex":"\\lambda_5 = 0.75","context":"scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 = 0.99\\). A drift of 0.25 yields \\(\\lambda_5 = 0.75\\), below the ≥ 0.90 co","source_id":"thesis_session"},{"id":"F0074","source_file":"thesis.md","source_line":583,"latex":"\\lambda_6","context":"-identical replay guarantee: a system that cannot reproduce its own gate verdict is not operating deterministically. **\\(\\lambda_6\\): evidenceProvenance.** Mea","source_id":"thesis_session"},{"id":"F0075","source_file":"thesis.md","source_line":585,"latex":"\\lambda_7","context":"ertions score at most 0.50. The scoring function is the fraction of claim tokens for which provenance is resolvable. **\\(\\lambda_7\\): actorIdentity.** Measures","source_id":"thesis_session"},{"id":"F0076","source_file":"thesis.md","source_line":587,"latex":"\\lambda_8","context":"ting under delegated authority — the score decays as a function of delegation depth to penalize opaque proxy chains. **\\(\\lambda_8\\): axiomConsistency.** Measu","source_id":"thesis_session"},{"id":"F0077","source_file":"thesis.md","source_line":589,"latex":"\\lambda_9","context":"Lean 4 formalization: it enforces, at runtime, the constraints that are statically verified at theorem-proving time. **\\(\\lambda_9\\): coherence.** Measures the","source_id":"thesis_session"},{"id":"F0078","source_file":"thesis.md","source_line":589,"latex":"A_1, A_2, \\ldots, A_k","context":"-step logical coherence of the agent's plan across the action sequence, not just for the current step in isolation. Let \\(A_1, A_2, \\ldots, A_k\\) denote the \\(k","source_id":"thesis_session"},{"id":"F0079","source_file":"thesis.md","source_line":589,"latex":"(A_i, A_{i+1})","context":"e the \\(k\\) preceding actions in the current session. The coherence score is the proportion of consecutive action-pairs \\((A_i, A_{i+1})\\) for which the precond","source_id":"thesis_session"},{"id":"F0080","source_file":"thesis.md","source_line":589,"latex":"A_{i+1}","context":"ion. The coherence score is the proportion of consecutive action-pairs \\((A_i, A_{i+1})\\) for which the precondition of \\(A_{i+1}\\) is satisfied by the postcond","source_id":"thesis_session"},{"id":"F0081","source_file":"thesis.md","source_line":589,"latex":"\\lambda_9 = 1.0","context":"ied by the postcondition of \\(A_i\\), under the operator's precondition/postcondition schema. For the base case \\(k=0\\), \\(\\lambda_9 = 1.0\\). ### The conjunctiv","source_id":"thesis_session"},{"id":"F0082","source_file":"thesis.md","source_line":599,"latex":"\\lambda_1 = 0.50","context":"for the following reason. A single composite score — even a geometric mean — can mask localized failures. An agent with \\(\\lambda_1 = 0.50\\) (severely morally m","source_id":"thesis_session"},{"id":"F0083","source_file":"thesis.md","source_line":599,"latex":"\\prod_{i}^{1/9} = 0.50^{1/9} \\approx 0.926","context":"with \\(\\lambda_1 = 0.50\\) (severely morally misaligned) and all remaining axes at \\(1.0\\) achieves a geometric mean of \\(\\prod_{i}^{1/9} = 0.50^{1/9} \\approx 0.","source_id":"thesis_session"},{"id":"F0084","source_file":"thesis.md","source_line":599,"latex":"\\lambda_1","context":"gle-score gate. The conjunctive AND structure prevents this: every axis is a blocking veto. The two elevated floors for \\(\\lambda_1\\) and \\(\\lambda_2\\) add a se","source_id":"thesis_session"},{"id":"F0085","source_file":"thesis.md","source_line":599,"latex":"\\lambda_2","context":"e conjunctive AND structure prevents this: every axis is a blocking veto. The two elevated floors for \\(\\lambda_1\\) and \\(\\lambda_2\\) add a second layer of asym","source_id":"thesis_session"},{"id":"F0086","source_file":"thesis.md","source_line":605,"latex":"m \\in \\{0,1\\}^9","context":"to the receipt structure. Rather than publishing the raw nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\)","source_id":"thesis_session"},{"id":"F0087","source_file":"thesis.md","source_line":605,"latex":"m_i = 1","context":"her than publishing the raw nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\)","source_id":"thesis_session"},{"id":"F0088","source_file":"thesis.md","source_line":605,"latex":"\\lambda_i","context":"nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\) was evaluated and passed it","source_id":"thesis_session"},{"id":"F0089","source_file":"thesis.md","source_line":611,"latex":"\\theta_i = 0.95","context":"ity profile of the agent. Formally, the mask is computed as: \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\","source_id":"thesis_session"},{"id":"F0090","source_file":"thesis.md","source_line":611,"latex":"i \\in \\{1,2\\}","context":". Formally, the mask is computed as: \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\","source_id":"thesis_session"},{"id":"F0091","source_file":"thesis.md","source_line":611,"latex":"\\theta_i = 0.90","context":"s computed as: \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate ","source_id":"thesis_session"},{"id":"F0092","source_file":"thesis.md","source_line":611,"latex":"\\sum_i m_i = 9","context":"eq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate passes iff \\(\\sum_i m_i = 9\\) (or 10 under Λ₁₀). Th","source_id":"thesis_session"},{"id":"F0093","source_file":"thesis.md","source_line":627,"latex":"\\textit{parent\\_hash}","context":"\\textit{timestamp},\\; \\vec{\\lambda},\\; \\rho\\_\\textit{witness\\_set},\\; \\textit{signature}\\bigr) \\] The fields are: - **\\(\\textit{parent\\_hash}\\)**: The SHA-256","source_id":"thesis_session"},{"id":"F0094","source_file":"thesis.md","source_line":627,"latex":"r_{i-1}","context":"s\\_set},\\; \\textit{signature}\\bigr) \\] The fields are: - **\\(\\textit{parent\\_hash}\\)**: The SHA-256 digest of receipt \\(r_{i-1}\\). For the genesis receipt, th","source_id":"thesis_session"},{"id":"F0095","source_file":"thesis.md","source_line":628,"latex":"\\textit{content\\_digest}","context":"this is the SHA-256 of a protocol-specified null seed. This field creates the backward-pointing link of the chain. - **\\(\\textit{content\\_digest}\\)**: The SHA-2","source_id":"thesis_session"},{"id":"F0096","source_file":"thesis.md","source_line":629,"latex":"\\textit{actor}","context":"fore any side-effectful execution. This binds the gate verdict irrevocably to the specific input that triggered it. - **\\(\\textit{actor}\\)**: The identifier of ","source_id":"thesis_session"},{"id":"F0097","source_file":"thesis.md","source_line":629,"latex":"\\lambda_7","context":"t. - **\\(\\textit{actor}\\)**: The identifier of the acting agent as registered in the principal registry. Corresponds to \\(\\lambda_7\\) (actorIdentity). - **\\(\\te","source_id":"thesis_session"},{"id":"F0098","source_file":"thesis.md","source_line":630,"latex":"\\textit{timestamp}","context":"entifier of the acting agent as registered in the principal registry. Corresponds to \\(\\lambda_7\\) (actorIdentity). - **\\(\\textit{timestamp}\\)**: A monotonic ti","source_id":"thesis_session"},{"id":"F0099","source_file":"thesis.md","source_line":631,"latex":"\\vec{\\lambda}","context":": A monotonic timestamp in milliseconds since the Unix epoch, drawn from a pinned, non-forgeable source (see §4.6). - **\\(\\vec{\\lambda}\\)**: The full nine-dimen","source_id":"thesis_session"},{"id":"F0100","source_file":"thesis.md","source_line":632,"latex":"\\rho\\_\\textit{witness\\_set}","context":"vec{\\lambda}\\)**: The full nine-dimensional Λ vector, or the `lambda9_mask` bitfield under the Λ₁₀ privacy variant. - **\\(\\rho\\_\\textit{witness\\_set}\\)**: The s","source_id":"thesis_session"}],"definitions":[],"canonical_constants":[{"id":"K01","name":"receipt_build_p50_us","value":"11.5","unit":"µs","ops_per_sec":"62764","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K02","name":"receipt_build_p99_us","value":"50.7","unit":"µs","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K03","name":"receipt_verify_p50_us","value":"10.4","unit":"µs","ops_per_sec":"74149","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K04","name":"lambda9_base_p50_us","value":"3.12","unit":"µs","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K05","name":"lambda9_composed_p50_us","value":"3.29","unit":"µs","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K06","name":"rho_closure_rate","value":"100%","denominator":"8000/8000 paired calls","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K07","name":"platform_v11_http_calls","value":"24800","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K08","name":"platform_v11_lambda10_overhead_p50_ms","value":"0.49-0.59","unit":"ms/route","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K09","name":"platform_v11_p99_ms","value":"1.27","unit":"ms","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K10","name":"replay_root","value":"1ed4d253e876f428c6e182f8ed8a569585442556b339529bbf8ec2522581698b","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K11","name":"test_count_production","value":"218/218","source":"THESIS_BRIEF.md","doi":"10.5281/zenodo.20119582","maturity":"measured"},{"id":"K12","name":"test_count_demo","value":"37/37","source":"replit_payload_build","commit":"demo","maturity":"measured"},{"id":"K13","name":"bekenstein_indicator_fire_rate","value":"49.5%","source":"thesis.md §4.5","doi":"10.5281/zenodo.20119582","maturity":"measured"}],"extracted_constants":[{"id":"C0001","name":"receipt_build_p50_us","value":"11.5","raw":"receipt build p50 = 11.5 µs","context":"0).** A production Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0003","name":"receipt_verify_p50_us","value":"10.4","raw":"receipt verify p50 = 10.4 µs","context":"ests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired ca","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0008","name":"receipt_build_p99_us","value":"50.7","raw":"p99 = 50.7 µs","context":"→ Receipt` — constructs a receipt envelope; p50 = 11.5 µs, p99 = 50.7 µs, throughput 62,764 ops/sec. - `verify_receipt(receipt) → bool` — verifies byt","source_file":"thesis.md","source_line":269,"source_id":"thesis_session"},{"id":"C0009","name":"ops_per_sec","value":"62764","raw":"62,764 ops/sec","context":"me with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,00","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0010","name":"ops_per_sec","value":"74149","raw":"74,149 ops/sec","context":"0 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired calls [9]. The runtime enforces ","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0023","name":"ops_per_sec","value":"200000","raw":"200,000 ops/sec","context":"arget for the Merkle-DAG upgrade is **5 µs build p50** at **200,000 ops/sec**. This is a 2.3× improvement in latency and a 3.2× improvement in through","source_file":"thesis.md","source_line":2100,"source_id":"thesis_session"},{"id":"C0027","name":"lambda9_base_p50_us","value":"3.12","raw":"Λ₉ base p50 = 3.12 µs","context":"9]. The runtime enforces a 9-axis conjunctive quality gate (Λ₉ base p50 = 3.12 µs) and a Λ₁₀ platform layer with 0.49–0.59 ms/route overhead validated","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0029","name":"tests_passed","value":"218","raw":"218/218 passing","context":"ify-p50 with 100% ρ-closure on 8,000/8,000 paired calls and 218/218 passing tests. We propose `lambda9_mask` as a privacy-preserving extension to SCIT","source_file":"thesis.md","source_line":27,"source_id":"thesis_session"},{"id":"C0031","name":"tests_passed","value":"37","raw":"37/37 tests","context":"nt invocations of the same input. The demo payload confirms 37/37 tests passing in the Replit environment (33 `ouroboros` core + 4 `a11oy` covenant), ","source_file":"thesis.md","source_line":249,"source_id":"thesis_session"},{"id":"C0044","name":"http_calls","value":"24800","raw":"24,800 HTTP calls","context":"orm layer with 0.49–0.59 ms/route overhead validated across 24,800 HTTP calls. 2. **Lean 4 formal axioms and proofs (`lutar-lean`).** A Mathlib-groun","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0053","name":"lambda_p50_us","value":"11.5","raw":"p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired calls [9]. The runtime enforces a 9-axis conjunctive quality gate (Λ","context":"tion Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0054","name":"lambda_p50_us","value":"3.12","raw":"p50 = 3.12 µs) and a Λ","context":"runtime enforces a 9-axis conjunctive quality gate (Λ₉ base p50 = 3.12 µs) and a Λ₁₀ platform layer with 0.49–0.59 ms/route overhead validated across ","source_file":"thesis.md","source_line":83,"source_id":"thesis_session"},{"id":"C0055","name":"receipt_build_p99_us","value":"50.7","raw":"p99 = 50.7 µs","context":"bers - **218/218 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ ba","source_file":"THESIS_BRIEF.md","source_line":57,"source_id":"thesis_brief"},{"id":"C0056","name":"ops_per_sec","value":"62764","raw":"62,764 ops/sec","context":"8 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µ","source_file":"THESIS_BRIEF.md","source_line":57,"source_id":"thesis_brief"},{"id":"C0057","name":"ops_per_sec","value":"74149","raw":"74,149 ops/sec","context":"0.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µs / composed p50 = 3.29 µs - 100% ρ-closure on **8,0","source_file":"THESIS_BRIEF.md","source_line":58,"source_id":"thesis_brief"},{"id":"C0058","name":"lambda9_base_p50_us","value":"3.12","raw":"Λ₉ base p50 = 3.12 µs","context":"/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µs / composed p50 = 3.29 µs - 100% ρ-closure on **8,000/8,000 paired ca","source_file":"THESIS_BRIEF.md","source_line":59,"source_id":"thesis_brief"},{"id":"C0059","name":"tests_passed","value":"218","raw":"218/218 tests","context":"boros v6.3.0 (released 2026-05-13) — production numbers - **218/218 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receip","source_file":"THESIS_BRIEF.md","source_line":56,"source_id":"thesis_brief"},{"id":"C0060","name":"tests_passed","value":"37","raw":"37/37 tests","context":"plit demo payload (verified live 2026-05-15 at 11:22 EDT) - 37/37 tests passing (33 ouroboros core + 4 a11oy covenant) - `bash scripts/doctrine-check.","source_file":"THESIS_BRIEF.md","source_line":68,"source_id":"thesis_brief"},{"id":"C0061","name":"http_calls","value":"24800","raw":"24,800 HTTP calls","context":"ρ-closure on **8,000/8,000 paired calls** - Platform v11: **24,800 HTTP calls validated**, Λ₁₀ overhead 0.49–0.59 ms/route, p99 ≤ 1.27 ms - Apache-2.0","source_file":"THESIS_BRIEF.md","source_line":61,"source_id":"thesis_brief"},{"id":"C0062","name":"receipt_build_p50_us","value":"11.5","raw":"Receipt build p50 = 11.5 µs","context":"e not. | 12–18 months — they have a runtime, not a kernel | Receipt build p50 = 11.5 µs · v11 DOI [`zenodo.20119582`](https://doi.org/10.5281/zenodo.2","source_file":"master_evolution_memo.md","source_line":81,"source_id":"master_memo"},{"id":"C0064","name":"receipt_build_p99_us","value":"50.7","raw":"p99 = 50.7 µs","context":"218 / 218 passing** | | Receipt build | p50 = **11.5 µs** · p99 = 50.7 µs · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | |","source_file":"master_evolution_memo.md","source_line":36,"source_id":"master_memo"},{"id":"C0065","name":"ops_per_sec","value":"62764","raw":"62,764 ops/sec","context":"g** | | Receipt build | p50 = **11.5 µs** · p99 = 50.7 µs · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | | Λ₉ base | p50 =","source_file":"master_evolution_memo.md","source_line":36,"source_id":"master_memo"},{"id":"C0066","name":"ops_per_sec","value":"74149","raw":"74,149 ops/sec","context":"s · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | | Λ₉ base | p50 = 3.12 µs | | Λ₉ composed | p50 = **3.29 µs** | | ρ-closu","source_file":"master_evolution_memo.md","source_line":37,"source_id":"master_memo"},{"id":"C0067","name":"tests_passed","value":"37","raw":"37/37 tests","context":"ic-facing Replit demo (`replit_a11oy_demo`) currently shows 37/37 tests passing. The upstream runtime is **218/218**. Every Series A diligence visitor","source_file":"master_evolution_memo.md","source_line":141,"source_id":"master_memo"},{"id":"C0068","name":"tests_passed","value":"218","raw":"218/218 tests","context":"astructure. **Success metric:** the Replit demo URL shows \"218/218 tests · v6.3.0 · OpenSSF 8.2\" with the same badge as the canonical repo, refreshed","source_file":"master_evolution_memo.md","source_line":152,"source_id":"master_memo"},{"id":"C0070","name":"receipt_build_p50_us","value":"11.5","raw":"Receipt build p50=11.5 µs","context":"rg/doc/draft-morrow-sogomonian-exec-outcome-attest/00/)). | Receipt build p50=11.5 µs, 218/218 tests, v11 DOI: [10.5281/zenodo.20119582](https://doi.o","source_file":"pm_memo.md","source_line":54,"source_id":"pm_memo"},{"id":"C0072","name":"ops_per_sec","value":"62764","raw":"62,764 ops/sec","context":"Claim:** Receipt build p50 = 11.5 µs, verify p50 = 10.4 µs, 62,764 ops/sec, 218/218 runtime tests, ρ-closure 8,000/8,000, byte-identical replay root `","source_file":"pm_memo.md","source_line":81,"source_id":"pm_memo"},{"id":"C0073","name":"tests_passed","value":"218","raw":"218/218 tests","context":"ian-exec-outcome-attest/00/)). | Receipt build p50=11.5 µs, 218/218 tests, v11 DOI: [10.5281/zenodo.20119582](https://doi.org/10.5281/zenodo.20119582)","source_file":"pm_memo.md","source_line":54,"source_id":"pm_memo"},{"id":"C0076","name":"tests_passed","value":"37","raw":"37/37 tests","context":"arity + Public Scorecard **Thesis:** The Replit demo shows 37/37 tests (ouroboros 33 + a11oy 4). 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"deterministicReplay", + "statement": "For canonical JSON + pinned PRNG + frozen registry, 5x replay yields byte-identical roots", + "source_file": "thesis.md", + "source_section": "§4.6", + "maturity": "measured", + "citation": "https://doi.org/10.5281/zenodo.20119582" + }, + { + "id": "A6", + "name": "hashChainIntegrity", + "statement": "Every spine entry hash-chain invariant: entry.chain = SHA256(prev_entry)", + "source_file": "thesis.md", + "source_section": "§3.4", + "maturity": "defined", + "citation": "https://doi.org/10.5281/zenodo.20119582" + }, + { + "id": "A7", + "name": "bekensteinBound", + "statement": "Receipt chain entropy H(R_n) bounded by information-theoretic limit from registry area", + "source_file": "thesis.md", + "source_section": "§4.5", + "maturity": "conjectured", + "citation": "https://doi.org/10.5281/zenodo.19944926" + }, + { + "id": "A8", + "name": "ingestDiscipline", + "statement": "Every ingest requires: source_url + content_hash + license (allow-list) + ORCID", + "source_file": "thesis.md", + "source_section": "§7", + "maturity": "defined", + "citation": "https://doi.org/10.5281/zenodo.20119582" + }, + { + "id": "A9", + "name": "doctrineCompleteness", + "statement": "doctrine.json v1.0.0 enumerates all 8 forbidden patterns; SHA-anchored", + "source_file": "szl-trust/doctrine.json", + "source_section": "§8", + "maturity": "defined", + "citation": "https://github.com/szl-holdings/szl-trust" + } + ], + "theorems": [ + { + "id": "TH_L1", + "name": "Λ_uniqueness", + "statement": "The Lutar Invariant Λ_k as weighted geometric mean with Egyptian unit-fraction weights is unique given the four axioms", + "source_file": "lutar-lean/Lutar/Uniqueness.lean", + "maturity": "conjectured", + "citation": "https://doi.org/10.5281/zenodo.20053148" + }, + { + "id": "TH_L2", + "name": "Λ_min_max_bounds", + "statement": "Λ_k lies in [0,1] with min=0 iff any axis=0 and max=1 iff all axes=1", + "source_file": "lutar-lean/Lutar/Bound.lean", + "maturity": "proven", + "citation": "https://doi.org/10.5281/zenodo.20053148" + }, + { + "id": "TH_L3", + "name": "bekenstein_soundness", + "statement": "Bekenstein indicator fires at 49.5% under uniform seed (measured); formal proof pending in lutar-lean", + "source_file": "lutar-lean (pending PR #12)", + "maturity": "measured/conjectured", + "citation": "https://github.com/szl-holdings/lutar-lean" + }, + { + "id": "TH_L4", + "name": "rho_closure_production", + "statement": "100% rho-closure on 8,000/8,000 paired calls under v11 platform", + "source_file": "ouroboros v6.3.0 release", + "maturity": "measured", + "citation": "https://doi.org/10.5281/zenodo.20119582" + } + ], + "formulas": [ + { + "id": "F0001", + "source_file": "thesis.md", + "source_line": 27, + "latex": "\\mathcal{S} = \\langle R, A, E, \\Lambda, \\rho, W \\rangle", + "context": "ith a doctrine-locked runtime** as a category-defining primitive for verifiable agency. We define the system as a tuple \\( \\mathcal{S} = \\langle R, A, E, \\Lambd", + "source_id": "thesis_session" + }, + { + "id": "F0002", + "source_file": "thesis.md", + "source_line": 229, + "latex": "\\mathtt{szl\\text{-}trust}", + "context": "d system. - \\(A\\) — the set of **named actors**. Every actor in \\(A\\) carries a stable identity resolvable to a key in \\(\\mathtt{szl\\text{-}trust}\\). No edge i", + "source_id": "thesis_session" + }, + { + "id": "F0003", + "source_file": "thesis.md", + "source_line": 231, + "latex": "e \\in E", + "context": "and resolvable — unidentified actors are structurally excluded. - \\(E\\) — the set of **receipt-bound edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},", + "source_id": "thesis_session" + }, + { + "id": "F0004", + "source_file": "thesis.md", + "source_line": 231, + "latex": "(a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)", + "context": "ntified actors are structurally excluded. - \\(E\\) — the set of **receipt-bound edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r", + "source_id": "thesis_session" + }, + { + "id": "F0005", + "source_file": "thesis.md", + "source_line": 231, + "latex": "a_{\\text{src}} \\in A", + "context": "d edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src", + "source_id": "thesis_session" + }, + { + "id": "F0006", + "source_file": "thesis.md", + "source_line": 231, + "latex": "r_{\\text{src}}, r_{\\text{dst}} \\in R", + "context": "E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\),", + "source_id": "thesis_session" + }, + { + "id": "F0007", + "source_file": "thesis.md", + "source_line": 231, + "latex": "\\varepsilon", + "context": "src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\), and \\(\\varepsilon\\) is the receipt envelope ", + "source_id": "thesis_session" + }, + { + "id": "F0008", + "source_file": "thesis.md", + "source_line": 231, + "latex": "\\varepsilon", + "context": "repsilon\\) is the receipt envelope defined in §3.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) — the **", + "source_id": "thesis_session" + }, + { + "id": "F0009", + "source_file": "thesis.md", + "source_line": 233, + "latex": "\\Lambda", + "context": "ceipt envelope defined in §3.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) — the **composable axis-gati", + "source_id": "thesis_session" + }, + { + "id": "F0010", + "source_file": "thesis.md", + "source_line": 233, + "latex": "\\Lambda : [0,1]^k \\to \\{0,1\\}", + "context": "boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,1]^k \\to \\{0,1\\}\\) for \\(", + "source_id": "thesis_session" + }, + { + "id": "F0011", + "source_file": "thesis.md", + "source_line": 233, + "latex": "k \\geq 9", + "context": "varepsilon\\). - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,1]^k \\to \\{0,1\\}\\) for \\(k \\geq 9\\), defined as the conjunctive", + "source_id": "thesis_session" + }, + { + "id": "F0012", + "source_file": "thesis.md", + "source_line": 239, + "latex": "\\mathbf{x}", + "context": "bilityHonesty}} \\geq 0.95 \\] The composability property states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their", + "source_id": "thesis_session" + }, + { + "id": "F0013", + "source_file": "thesis.md", + "source_line": 239, + "latex": "\\mathbf{y}", + "context": "q 0.95 \\] The composability property states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\L", + "source_id": "thesis_session" + }, + { + "id": "F0014", + "source_file": "thesis.md", + "source_line": 239, + "latex": "\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})", + "context": "rty states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\", + "source_id": "thesis_session" + }, + { + "id": "F0015", + "source_file": "thesis.md", + "source_line": 239, + "latex": "\\Lambda(\\mathbf{x}) \\wedge \\Lambda(\\mathbf{y})", + "context": "ctors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\) is equivalent to \\(\\Lambda(\\mathbf{x}) \\wedge \\Lambda(\\ma", + "source_id": "thesis_session" + }, + { + "id": "F0016", + "source_file": "thesis.md", + "source_line": 239, + "latex": "\\Lambda", + "context": "— gate composition does not weaken the invariant. The `lutar-lean` skeleton repository contains the Lean 4 statement of \\(\\Lambda\\) uniqueness: given the four a", + "source_id": "thesis_session" + }, + { + "id": "F0017", + "source_file": "thesis.md", + "source_line": 239, + "latex": "\\Lambda", + "context": "ment of \\(\\Lambda\\) uniqueness: given the four axioms (A1 monotonicity, A2 homogeneity, A3 Egyptian-exact, A4 bounded), \\(\\Lambda\\) is the *unique* function sat", + "source_id": "thesis_session" + }, + { + "id": "F0018", + "source_file": "thesis.md", + "source_line": 241, + "latex": "\\rho(e)", + "context": "arget is zero. - \\(\\rho\\) — the **dual-witness closure relation**. For any edge \\(e\\) carrying execution result \\(v\\), \\(\\rho(e)\\) holds iff two independent wi", + "source_id": "thesis_session" + }, + { + "id": "F0019", + "source_file": "thesis.md", + "source_line": 241, + "latex": "w_1, w_2 \\in W", + "context": "closure relation**. For any edge \\(e\\) carrying execution result \\(v\\), \\(\\rho(e)\\) holds iff two independent witnesses \\(w_1, w_2 \\in W\\) each produce byte-ide", + "source_id": "thesis_session" + }, + { + "id": "F0020", + "source_file": "thesis.md", + "source_line": 251, + "latex": "\\mathcal{S}", + "context": "uroboros` core + 4 `a11oy` covenant), while the full upstream runtime suite registers 218/218 passing tests. The tuple \\(\\mathcal{S}\\) is **doctrine-locked**: ", + "source_id": "thesis_session" + }, + { + "id": "F0021", + "source_file": "thesis.md", + "source_line": 251, + "latex": "\\Lambda", + "context": "which (a) a region is unnamed, (b) an actor is not in \\(A\\), (c) an edge is produced without a receipt envelope, or (d) \\(\\Lambda\\) is evaluated below threshold", + "source_id": "thesis_session" + }, + { + "id": "F0022", + "source_file": "thesis.md", + "source_line": 251, + "latex": "\\mathcal{S}", + "context": "ithout a receipt envelope, or (d) \\(\\Lambda\\) is evaluated below threshold does not constitute a valid instantiation of \\(\\mathcal{S}\\). --- ## The 8-Region A", + "source_id": "thesis_session" + }, + { + "id": "F0023", + "source_file": "thesis.md", + "source_line": 257, + "latex": "\\mathcal{S}", + "context": "of \\(R\\) are enumerated below. For each region the presentation gives: the repository identifier, its role in the tuple \\(\\mathcal{S}\\), its public interfaces, ", + "source_id": "thesis_session" + }, + { + "id": "F0024", + "source_file": "thesis.md", + "source_line": 265, + "latex": "\\mathcal{S}", + "context": "released 2026-05-13; concept DOI `10.5281/zenodo.19944926`, v11 paper DOI `10.5281/zenodo.20119582`) **Formal role in \\(\\mathcal{S}\\):** The Brain Stem is the ", + "source_id": "thesis_session" + }, + { + "id": "F0025", + "source_file": "thesis.md", + "source_line": 265, + "latex": "\\Lambda", + "context": "DOI `10.5281/zenodo.20119582`) **Formal role in \\(\\mathcal{S}\\):** The Brain Stem is the runtime kernel that evaluates \\(\\Lambda\\) and emits receipts. Every ed", + "source_id": "thesis_session" + }, + { + "id": "F0026", + "source_file": "thesis.md", + "source_line": 268, + "latex": "\\Lambda", + "context": "bda(axes: number[9|10]) → Receipt` — evaluates the conjunctive AND gate and returns a signed receipt with the composite \\(\\Lambda\\) score, Bekenstein budget, an", + "source_id": "thesis_session" + }, + { + "id": "F0027", + "source_file": "thesis.md", + "source_line": 274, + "latex": "\\Lambda", + "context": "chain root for third-party verification. **Dependencies:** - Depends on: `lutar-lean` (Skeleton) — the axiom set that \\(\\Lambda\\) is required to satisfy is for", + "source_id": "thesis_session" + }, + { + "id": "F0028", + "source_file": "thesis.md", + "source_line": 277, + "latex": "\\Lambda_9", + "context": "utbound edge must call `evaluate_lambda` before the edge enters \\(E\\). The gate composition benchmark for v6.3.0 shows \\(\\Lambda_9\\) base p50 = 3.12 µs and com", + "source_id": "thesis_session" + }, + { + "id": "F0029", + "source_file": "thesis.md", + "source_line": 285, + "latex": "\\mathcal{S}", + "context": "a continuous supply-chain security posture. --- ### Heart — `a11oy` **Repo:** `szl-holdings/a11oy` **Formal role in \\(\\mathcal{S}\\):** The Heart is the cove", + "source_id": "thesis_session" + }, + { + "id": "F0030", + "source_file": "thesis.md", + "source_line": 285, + "latex": "\\mathcal{S}", + "context": "\\):** The Heart is the covenant policy engine and the agent approval queue. It governs the *authorization* dimension of \\(\\mathcal{S}\\): while the Brain Stem an", + "source_id": "thesis_session" + }, + { + "id": "F0031", + "source_file": "thesis.md", + "source_line": 285, + "latex": "\\Lambda", + "context": "It governs the *authorization* dimension of \\(\\mathcal{S}\\): while the Brain Stem answers \"does this action score above \\(\\Lambda\\)?\", the Heart answers \"is thi", + "source_id": "thesis_session" + }, + { + "id": "F0032", + "source_file": "thesis.md", + "source_line": 285, + "latex": "r_{\\text{dst}} \\notin R", + "context": "this action permitted under the active covenant?\". No action may exit the body graph — i.e., no edge in \\(E\\) may have \\(r_{\\text{dst}} \\notin R\\) — without a H", + "source_id": "thesis_session" + }, + { + "id": "F0033", + "source_file": "thesis.md", + "source_line": 293, + "latex": "\\Lambda", + "context": "Stem's chain. **Dependencies:** - Depends on: `ouroboros` (Brain Stem) — covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant ch", + "source_id": "thesis_session" + }, + { + "id": "F0034", + "source_file": "thesis.md", + "source_line": 293, + "latex": "\\Lambda", + "context": "os` (Brain Stem) — covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant check that fails \\(\\Lambda\\) is itself a gate-level viola", + "source_id": "thesis_session" + }, + { + "id": "F0035", + "source_file": "thesis.md", + "source_line": 305, + "latex": "\\mathcal{S}", + "context": "but a verifiable, chain-linked artifact. --- ### Wires — `sentra` **Repo:** `szl-holdings/sentra` **Formal role in \\(\\mathcal{S}\\):** The Wires are the attr", + "source_id": "thesis_session" + }, + { + "id": "F0036", + "source_file": "thesis.md", + "source_line": 305, + "latex": "\\text{attr}: E \\to A", + "context": "rent channel that carries signals inward and records *who observed what and when*. Formally, Wires maintain the mapping \\(\\text{attr}: E \\to A\\), ensuring that ", + "source_id": "thesis_session" + }, + { + "id": "F0037", + "source_file": "thesis.md", + "source_line": 305, + "latex": "\\mathcal{S}", + "context": "he mapping \\(\\text{attr}: E \\to A\\), ensuring that every edge in \\(E\\) is attributable to a named actor. Without Wires, \\(\\mathcal{S}\\) degrades: edges carry re", + "source_id": "thesis_session" + }, + { + "id": "F0038", + "source_file": "thesis.md", + "source_line": 308, + "latex": "a \\in A", + "context": "egal-accountability sense. **Public interfaces:** - `observe(edge, actor_id) → AttributionRecord` — records that actor \\(a \\in A\\) produced or consumed edge \\(", + "source_id": "thesis_session" + }, + { + "id": "F0039", + "source_file": "thesis.md", + "source_line": 325, + "latex": "\\mathcal{S}", + "context": "aft-morrow-sogomonian-exec-outcome-attest`. --- ### Spine — `amaru` **Repo:** `szl-holdings/amaru` **Formal role in \\(\\mathcal{S}\\):** The Spine is the appe", + "source_id": "thesis_session" + }, + { + "id": "F0040", + "source_file": "thesis.md", + "source_line": 325, + "latex": "\\langle e_1, e_2, \\ldots, e_n \\rangle \\subseteq E", + "context": "ordered, hash-verified record of every state transition across the body graph. Formally, `amaru` maintains the sequence \\(\\langle e_1, e_2, \\ldots, e_n \\rangle ", + "source_id": "thesis_session" + }, + { + "id": "F0041", + "source_file": "thesis.md", + "source_line": 339, + "latex": "O(\\log n)", + "context": "(identified in the runtime roadmap) would upgrade the Spine's linear hash-chain to a directed acyclic graph supporting \\(O(\\log n)\\) subset inclusion proofs — e", + "source_id": "thesis_session" + }, + { + "id": "F0042", + "source_file": "thesis.md", + "source_line": 347, + "latex": "\\mathcal{S}", + "context": "nce in the enterprise segment. --- ### Skeleton — `lutar-lean` **Repo:** `szl-holdings/lutar-lean` **Formal role in \\(\\mathcal{S}\\):** The Skeleton is the f", + "source_id": "thesis_session" + }, + { + "id": "F0043", + "source_file": "thesis.md", + "source_line": 347, + "latex": "\\{A1, A2, A3, A4\\}", + "context": "es not execute at runtime; it is the *proof that the runtime is correct*. Formally, `lutar-lean` provides the axiom set \\(\\{A1, A2, A3, A4\\}\\) and the derived t", + "source_id": "thesis_session" + }, + { + "id": "F0044", + "source_file": "thesis.md", + "source_line": 347, + "latex": "\\Lambda", + "context": "A2, A3, A4\\}\\) and the derived theorems (Λ uniqueness, Bound theorem) that constitute a machine-checked certificate for \\(\\Lambda\\). If the Skeleton's `sorry` c", + "source_id": "thesis_session" + }, + { + "id": "F0045", + "source_file": "thesis.md", + "source_line": 351, + "latex": "\\Lambda", + "context": "statements of A1 (monotonicity), A2 (homogeneity), A3 (Egyptian-exact), A4 (bounded). - `Uniqueness.lean` — Theorem 1: \\(\\Lambda\\) is the unique function satisf", + "source_id": "thesis_session" + }, + { + "id": "F0046", + "source_file": "thesis.md", + "source_line": 367, + "latex": "\\mathcal{S}", + "context": "*Repos:** `szl-holdings/counsel` (governance UI), `szl-holdings/terra` (dashboards and visualization) **Formal role in \\(\\mathcal{S}\\):** The Hands are the too", + "source_id": "thesis_session" + }, + { + "id": "F0047", + "source_file": "thesis.md", + "source_line": 371, + "latex": "\\Lambda", + "context": "as an interactive SVG, streaming live receipt counts via SSE from `/api/chain/stream`; node colors reflect the current \\(\\Lambda\\) score band (green ≥ 0.95, amb", + "source_id": "thesis_session" + }, + { + "id": "F0048", + "source_file": "thesis.md", + "source_line": 386, + "latex": "\\mathcal{S}", + "context": "*is* the system. --- ### Full Body — `ouroboros-thesis` **Repo:** `szl-holdings/ouroboros-thesis` **Formal role in \\(\\mathcal{S}\\):** The Full Body is the p", + "source_id": "thesis_session" + }, + { + "id": "F0049", + "source_file": "thesis.md", + "source_line": 386, + "latex": "\\mathcal{S}", + "context": "l Body is the public-record thesis — the DOI-pinned, versioned document that constitutes the canonical specification of \\(\\mathcal{S}\\). Formally, `ouroboros-th", + "source_id": "thesis_session" + }, + { + "id": "F0050", + "source_file": "thesis.md", + "source_line": 405, + "latex": "\\mathcal{S}", + "context": "d identity anchoring), `szl-holdings/szl-cookbook` (reference implementations / developer onboarding) **Formal role in \\(\\mathcal{S}\\):** The Vessels and Chakr", + "source_id": "thesis_session" + }, + { + "id": "F0051", + "source_file": "thesis.md", + "source_line": 421, + "latex": "\\varepsilon", + "context": "eue under the covenant pack schema. --- ## Cross-Region Contracts Every edge in \\(E\\) carries a **receipt envelope** \\(\\varepsilon\\). The envelope is a typed", + "source_id": "thesis_session" + }, + { + "id": "F0052", + "source_file": "thesis.md", + "source_line": 421, + "latex": "\\Lambda", + "context": "es a **receipt envelope** \\(\\varepsilon\\). The envelope is a typed, signed, content-addressed record that provides: the \\(\\Lambda\\) score vector, the dual-witne", + "source_id": "thesis_session" + }, + { + "id": "F0053", + "source_file": "thesis.md", + "source_line": 479, + "latex": "\\Lambda", + "context": "_lambda(axes) → Receipt` — any MCP-compatible client (Claude Desktop, Cursor, enterprise agent frameworks) can call the \\(\\Lambda\\) gate as a typed tool and rec", + "source_id": "thesis_session" + }, + { + "id": "F0054", + "source_file": "thesis.md", + "source_line": 507, + "latex": "\\mathcal{S}", + "context": "the 8-Region Model Structurally Surpasses the Leaders Each existing framework or protocol is a partial instantiation of \\(\\mathcal{S}\\). The gap is structural: ", + "source_id": "thesis_session" + }, + { + "id": "F0055", + "source_file": "thesis.md", + "source_line": 515, + "latex": "\\Lambda_9", + "context": "l engineering pattern, but skills are *files*, not services with receipts. A Brain Stem can issue a decision that fails \\(\\Lambda_9\\) moralGrounding; in the Man", + "source_id": "thesis_session" + }, + { + "id": "F0056", + "source_file": "thesis.md", + "source_line": 515, + "latex": "\\mathcal{S}", + "context": "fails \\(\\Lambda_9\\) moralGrounding; in the Managed Agents architecture there is no mechanism to detect or block it. In \\(\\mathcal{S}\\), that decision never exit", + "source_id": "thesis_session" + }, + { + "id": "F0057", + "source_file": "thesis.md", + "source_line": 517, + "latex": "\\Lambda", + "context": "ource agent framework in the TypeScript ecosystem. Mastra has no Skeleton: there are no Lean 4 proofs. It has no formal \\(\\Lambda\\) gate — behavioral constraint", + "source_id": "thesis_session" + }, + { + "id": "F0058", + "source_file": "thesis.md", + "source_line": 567, + "latex": "\\lambda_1", + "context": "l(\\lambda_1(c),\\, \\lambda_2(c),\\, \\ldots,\\, \\lambda_9(c)\\bigr) \\in [0,1]^9 \\] The nine axes are defined as follows. **\\(\\lambda_1\\): moralGrounding.** Measure", + "source_id": "thesis_session" + }, + { + "id": "F0059", + "source_file": "thesis.md", + "source_line": 567, + "latex": "\\lambda_1", + "context": "nce policies, and principal hierarchies that the operator has encoded in the agent's governing covenant. Operationally, \\(\\lambda_1\\) is the normalized cosine s", + "source_id": "thesis_session" + }, + { + "id": "F0060", + "source_file": "thesis.md", + "source_line": 567, + "latex": "[0,1]", + "context": "mbedding and a reference \"moral anchor\" embedding, averaged over the operator's registered covenant clauses, clamped to \\([0,1]\\). The floor constraint \\(\\lambd", + "source_id": "thesis_session" + }, + { + "id": "F0061", + "source_file": "thesis.md", + "source_line": 567, + "latex": "\\lambda_1 \\geq 0.95", + "context": "anchor\" embedding, averaged over the operator's registered covenant clauses, clamped to \\([0,1]\\). The floor constraint \\(\\lambda_1 \\geq 0.95\\) is a hard asympt", + "source_id": "thesis_session" + }, + { + "id": "F0062", + "source_file": "thesis.md", + "source_line": 569, + "latex": "\\lambda_2", + "context": "even marginally morally misaligned fails the gate irrespective of how perfectly calibrated the other eight axes are. **\\(\\lambda_2\\): measurabilityHonesty.** M", + "source_id": "thesis_session" + }, + { + "id": "F0063", + "source_file": "thesis.md", + "source_line": 571, + "latex": "\\lambda_3", + "context": "ine clause \"no hallucinations no bandaids; test test test\" by making measurement-honesty a prerequisite for passage. **\\(\\lambda_3\\): epistemicHumility.** Scor", + "source_id": "thesis_session" + }, + { + "id": "F0064", + "source_file": "thesis.md", + "source_line": 571, + "latex": "\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]", + "context": "sparse scores low on this axis. The scoring function penalizes unjustified confidence using a calibration-error analog: \\(\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf", + "source_id": "thesis_session" + }, + { + "id": "F0065", + "source_file": "thesis.md", + "source_line": 571, + "latex": "\\text{conf}(c)", + "context": "ied confidence using a calibration-error analog: \\(\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{conf}(c)\\) is the agent's stated", + "source_id": "thesis_session" + }, + { + "id": "F0066", + "source_file": "thesis.md", + "source_line": 571, + "latex": "\\text{acc}(c)", + "context": "da_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{conf}(c)\\) is the agent's stated confidence and \\(\\text{acc}(c)\\) is the empirically mea", + "source_id": "thesis_session" + }, + { + "id": "F0067", + "source_file": "thesis.md", + "source_line": 573, + "latex": "\\lambda_4", + "context": "is the agent's stated confidence and \\(\\text{acc}(c)\\) is the empirically measured accuracy over a calibration set. **\\(\\lambda_4\\): counterfactualAwareness.**", + "source_id": "thesis_session" + }, + { + "id": "F0068", + "source_file": "thesis.md", + "source_line": 575, + "latex": "\\lambda_5", + "context": "res 0.0 and a uniformly distributed consequence distribution over the operator-defined consequence space scores 1.0. **\\(\\lambda_5\\): temporalConsistency.** Me", + "source_id": "thesis_session" + }, + { + "id": "F0069", + "source_file": "thesis.md", + "source_line": 575, + "latex": "t + \\Delta", + "context": "Measures the stability of the gate verdict under repeated evaluation on the same input at two different times \\(t\\) and \\(t + \\Delta\\). Let \\(v_t\\) and \\(v_{t+\\", + "source_id": "thesis_session" + }, + { + "id": "F0070", + "source_file": "thesis.md", + "source_line": 575, + "latex": "v_{t+\\Delta}", + "context": "te verdict under repeated evaluation on the same input at two different times \\(t\\) and \\(t + \\Delta\\). Let \\(v_t\\) and \\(v_{t+\\Delta}\\) denote the Λ₉ composite", + "source_id": "thesis_session" + }, + { + "id": "F0071", + "source_file": "thesis.md", + "source_line": 581, + "latex": "\\lambda_5 = 1.0", + "context": "Then: \\[ \\lambda_5 = \\max\\!\\Bigl(0,\\; 1 - 4\\,\\bigl(v_t - v_{t+\\Delta}\\bigr)^2\\Bigr) \\] A zero-drift evaluation scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in ", + "source_id": "thesis_session" + }, + { + "id": "F0072", + "source_file": "thesis.md", + "source_line": 581, + "latex": "\\lambda_5 = 0.99", + "context": "ta}\\bigr)^2\\Bigr) \\] A zero-drift evaluation scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 = 0.99\\). A drift of 0.25 yi", + "source_id": "thesis_session" + }, + { + "id": "F0073", + "source_file": "thesis.md", + "source_line": 581, + "latex": "\\lambda_5 = 0.75", + "context": "scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 = 0.99\\). A drift of 0.25 yields \\(\\lambda_5 = 0.75\\), below the ≥ 0.90 co", + "source_id": "thesis_session" + }, + { + "id": "F0074", + "source_file": "thesis.md", + "source_line": 583, + "latex": "\\lambda_6", + "context": "-identical replay guarantee: a system that cannot reproduce its own gate verdict is not operating deterministically. **\\(\\lambda_6\\): evidenceProvenance.** Mea", + "source_id": "thesis_session" + }, + { + "id": "F0075", + "source_file": "thesis.md", + "source_line": 585, + "latex": "\\lambda_7", + "context": "ertions score at most 0.50. The scoring function is the fraction of claim tokens for which provenance is resolvable. **\\(\\lambda_7\\): actorIdentity.** Measures", + "source_id": "thesis_session" + }, + { + "id": "F0076", + "source_file": "thesis.md", + "source_line": 587, + "latex": "\\lambda_8", + "context": "ting under delegated authority — the score decays as a function of delegation depth to penalize opaque proxy chains. **\\(\\lambda_8\\): axiomConsistency.** Measu", + "source_id": "thesis_session" + }, + { + "id": "F0077", + "source_file": "thesis.md", + "source_line": 589, + "latex": "\\lambda_9", + "context": "Lean 4 formalization: it enforces, at runtime, the constraints that are statically verified at theorem-proving time. **\\(\\lambda_9\\): coherence.** Measures the", + "source_id": "thesis_session" + }, + { + "id": "F0078", + "source_file": "thesis.md", + "source_line": 589, + "latex": "A_1, A_2, \\ldots, A_k", + "context": "-step logical coherence of the agent's plan across the action sequence, not just for the current step in isolation. Let \\(A_1, A_2, \\ldots, A_k\\) denote the \\(k", + "source_id": "thesis_session" + }, + { + "id": "F0079", + "source_file": "thesis.md", + "source_line": 589, + "latex": "(A_i, A_{i+1})", + "context": "e the \\(k\\) preceding actions in the current session. The coherence score is the proportion of consecutive action-pairs \\((A_i, A_{i+1})\\) for which the precond", + "source_id": "thesis_session" + }, + { + "id": "F0080", + "source_file": "thesis.md", + "source_line": 589, + "latex": "A_{i+1}", + "context": "ion. The coherence score is the proportion of consecutive action-pairs \\((A_i, A_{i+1})\\) for which the precondition of \\(A_{i+1}\\) is satisfied by the postcond", + "source_id": "thesis_session" + }, + { + "id": "F0081", + "source_file": "thesis.md", + "source_line": 589, + "latex": "\\lambda_9 = 1.0", + "context": "ied by the postcondition of \\(A_i\\), under the operator's precondition/postcondition schema. For the base case \\(k=0\\), \\(\\lambda_9 = 1.0\\). ### The conjunctiv", + "source_id": "thesis_session" + }, + { + "id": "F0082", + "source_file": "thesis.md", + "source_line": 599, + "latex": "\\lambda_1 = 0.50", + "context": "for the following reason. A single composite score — even a geometric mean — can mask localized failures. An agent with \\(\\lambda_1 = 0.50\\) (severely morally m", + "source_id": "thesis_session" + }, + { + "id": "F0083", + "source_file": "thesis.md", + "source_line": 599, + "latex": "\\prod_{i}^{1/9} = 0.50^{1/9} \\approx 0.926", + "context": "with \\(\\lambda_1 = 0.50\\) (severely morally misaligned) and all remaining axes at \\(1.0\\) achieves a geometric mean of \\(\\prod_{i}^{1/9} = 0.50^{1/9} \\approx 0.", + "source_id": "thesis_session" + }, + { + "id": "F0084", + "source_file": "thesis.md", + "source_line": 599, + "latex": "\\lambda_1", + "context": "gle-score gate. The conjunctive AND structure prevents this: every axis is a blocking veto. The two elevated floors for \\(\\lambda_1\\) and \\(\\lambda_2\\) add a se", + "source_id": "thesis_session" + }, + { + "id": "F0085", + "source_file": "thesis.md", + "source_line": 599, + "latex": "\\lambda_2", + "context": "e conjunctive AND structure prevents this: every axis is a blocking veto. The two elevated floors for \\(\\lambda_1\\) and \\(\\lambda_2\\) add a second layer of asym", + "source_id": "thesis_session" + }, + { + "id": "F0086", + "source_file": "thesis.md", + "source_line": 605, + "latex": "m \\in \\{0,1\\}^9", + "context": "to the receipt structure. Rather than publishing the raw nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\)", + "source_id": "thesis_session" + }, + { + "id": "F0087", + "source_file": "thesis.md", + "source_line": 605, + "latex": "m_i = 1", + "context": "her than publishing the raw nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\)", + "source_id": "thesis_session" + }, + { + "id": "F0088", + "source_file": "thesis.md", + "source_line": 605, + "latex": "\\lambda_i", + "context": "nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\) was evaluated and passed it", + "source_id": "thesis_session" + }, + { + "id": "F0089", + "source_file": "thesis.md", + "source_line": 611, + "latex": "\\theta_i = 0.95", + "context": "ity profile of the agent. Formally, the mask is computed as: \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\", + "source_id": "thesis_session" + }, + { + "id": "F0090", + "source_file": "thesis.md", + "source_line": 611, + "latex": "i \\in \\{1,2\\}", + "context": ". Formally, the mask is computed as: \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\", + "source_id": "thesis_session" + }, + { + "id": "F0091", + "source_file": "thesis.md", + "source_line": 611, + "latex": "\\theta_i = 0.90", + "context": "s computed as: \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate ", + "source_id": "thesis_session" + }, + { + "id": "F0092", + "source_file": "thesis.md", + "source_line": 611, + "latex": "\\sum_i m_i = 9", + "context": "eq \\theta_i] \\] where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate passes iff \\(\\sum_i m_i = 9\\) (or 10 under Λ₁₀). Th", + "source_id": "thesis_session" + }, + { + "id": "F0093", + "source_file": "thesis.md", + "source_line": 627, + "latex": "\\textit{parent\\_hash}", + "context": "\\textit{timestamp},\\; \\vec{\\lambda},\\; \\rho\\_\\textit{witness\\_set},\\; \\textit{signature}\\bigr) \\] The fields are: - **\\(\\textit{parent\\_hash}\\)**: The SHA-256", + "source_id": "thesis_session" + }, + { + "id": "F0094", + "source_file": "thesis.md", + "source_line": 627, + "latex": "r_{i-1}", + "context": "s\\_set},\\; \\textit{signature}\\bigr) \\] The fields are: - **\\(\\textit{parent\\_hash}\\)**: The SHA-256 digest of receipt \\(r_{i-1}\\). For the genesis receipt, th", + "source_id": "thesis_session" + }, + { + "id": "F0095", + "source_file": "thesis.md", + "source_line": 628, + "latex": "\\textit{content\\_digest}", + "context": "this is the SHA-256 of a protocol-specified null seed. This field creates the backward-pointing link of the chain. - **\\(\\textit{content\\_digest}\\)**: The SHA-2", + "source_id": "thesis_session" + }, + { + "id": "F0096", + "source_file": "thesis.md", + "source_line": 629, + "latex": "\\textit{actor}", + "context": "fore any side-effectful execution. This binds the gate verdict irrevocably to the specific input that triggered it. - **\\(\\textit{actor}\\)**: The identifier of ", + "source_id": "thesis_session" + }, + { + "id": "F0097", + "source_file": "thesis.md", + "source_line": 629, + "latex": "\\lambda_7", + "context": "t. - **\\(\\textit{actor}\\)**: The identifier of the acting agent as registered in the principal registry. Corresponds to \\(\\lambda_7\\) (actorIdentity). - **\\(\\te", + "source_id": "thesis_session" + }, + { + "id": "F0098", + "source_file": "thesis.md", + "source_line": 630, + "latex": "\\textit{timestamp}", + "context": "entifier of the acting agent as registered in the principal registry. Corresponds to \\(\\lambda_7\\) (actorIdentity). - **\\(\\textit{timestamp}\\)**: A monotonic ti", + "source_id": "thesis_session" + }, + { + "id": "F0099", + "source_file": "thesis.md", + "source_line": 631, + "latex": "\\vec{\\lambda}", + "context": ": A monotonic timestamp in milliseconds since the Unix epoch, drawn from a pinned, non-forgeable source (see §4.6). - **\\(\\vec{\\lambda}\\)**: The full nine-dimen", + "source_id": "thesis_session" + }, + { + "id": "F0100", + "source_file": "thesis.md", + "source_line": 632, + "latex": "\\rho\\_\\textit{witness\\_set}", + "context": "vec{\\lambda}\\)**: The full nine-dimensional Λ vector, or the `lambda9_mask` bitfield under the Λ₁₀ privacy variant. - **\\(\\rho\\_\\textit{witness\\_set}\\)**: The s", + "source_id": "thesis_session" + } + ], + "definitions": [], + "canonical_constants": [ + { + "id": "K01", + "name": "receipt_build_p50_us", + "value": "11.5", + "unit": "µs", + "ops_per_sec": "62764", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K02", + "name": "receipt_build_p99_us", + "value": "50.7", + "unit": "µs", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K03", + "name": "receipt_verify_p50_us", + "value": "10.4", + "unit": "µs", + "ops_per_sec": "74149", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K04", + "name": "lambda9_base_p50_us", + "value": "3.12", + "unit": "µs", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K05", + "name": "lambda9_composed_p50_us", + "value": "3.29", + "unit": "µs", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K06", + "name": "rho_closure_rate", + "value": "100%", + "denominator": "8000/8000 paired calls", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K07", + "name": "platform_v11_http_calls", + "value": "24800", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K08", + "name": "platform_v11_lambda10_overhead_p50_ms", + "value": "0.49-0.59", + "unit": "ms/route", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K09", + "name": "platform_v11_p99_ms", + "value": "1.27", + "unit": "ms", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K10", + "name": "replay_root", + "value": "1ed4d253e876f428c6e182f8ed8a569585442556b339529bbf8ec2522581698b", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K11", + "name": "test_count_production", + "value": "218/218", + "source": "THESIS_BRIEF.md", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + }, + { + "id": "K12", + "name": "test_count_demo", + "value": "37/37", + "source": "replit_payload_build", + "commit": "demo", + "maturity": "measured" + }, + { + "id": "K13", + "name": "bekenstein_indicator_fire_rate", + "value": "49.5%", + "source": "thesis.md §4.5", + "doi": "10.5281/zenodo.20119582", + "maturity": "measured" + } + ], + "extracted_constants": [ + { + "id": "C0001", + "name": "receipt_build_p50_us", + "value": "11.5", + "raw": "receipt build p50 = 11.5 µs", + "context": "0).** A production Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0003", + "name": "receipt_verify_p50_us", + "value": "10.4", + "raw": "receipt verify p50 = 10.4 µs", + "context": "ests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired ca", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0008", + "name": "receipt_build_p99_us", + "value": "50.7", + "raw": "p99 = 50.7 µs", + "context": "→ Receipt` — constructs a receipt envelope; p50 = 11.5 µs, p99 = 50.7 µs, throughput 62,764 ops/sec. - `verify_receipt(receipt) → bool` — verifies byt", + "source_file": "thesis.md", + "source_line": 269, + "source_id": "thesis_session" + }, + { + "id": "C0009", + "name": "ops_per_sec", + "value": "62764", + "raw": "62,764 ops/sec", + "context": "me with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,00", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0010", + "name": "ops_per_sec", + "value": "74149", + "raw": "74,149 ops/sec", + "context": "0 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired calls [9]. The runtime enforces ", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0023", + "name": "ops_per_sec", + "value": "200000", + "raw": "200,000 ops/sec", + "context": "arget for the Merkle-DAG upgrade is **5 µs build p50** at **200,000 ops/sec**. This is a 2.3× improvement in latency and a 3.2× improvement in through", + "source_file": "thesis.md", + "source_line": 2100, + "source_id": "thesis_session" + }, + { + "id": "C0027", + "name": "lambda9_base_p50_us", + "value": "3.12", + "raw": "Λ₉ base p50 = 3.12 µs", + "context": "9]. The runtime enforces a 9-axis conjunctive quality gate (Λ₉ base p50 = 3.12 µs) and a Λ₁₀ platform layer with 0.49–0.59 ms/route overhead validated", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0029", + "name": "tests_passed", + "value": "218", + "raw": "218/218 passing", + "context": "ify-p50 with 100% ρ-closure on 8,000/8,000 paired calls and 218/218 passing tests. We propose `lambda9_mask` as a privacy-preserving extension to SCIT", + "source_file": "thesis.md", + "source_line": 27, + "source_id": "thesis_session" + }, + { + "id": "C0031", + "name": "tests_passed", + "value": "37", + "raw": "37/37 tests", + "context": "nt invocations of the same input. The demo payload confirms 37/37 tests passing in the Replit environment (33 `ouroboros` core + 4 `a11oy` covenant), ", + "source_file": "thesis.md", + "source_line": 249, + "source_id": "thesis_session" + }, + { + "id": "C0044", + "name": "http_calls", + "value": "24800", + "raw": "24,800 HTTP calls", + "context": "orm layer with 0.49–0.59 ms/route overhead validated across 24,800 HTTP calls. 2. **Lean 4 formal axioms and proofs (`lutar-lean`).** A Mathlib-groun", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0053", + "name": "lambda_p50_us", + "value": "11.5", + "raw": "p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired calls [9]. The runtime enforces a 9-axis conjunctive quality gate (Λ", + "context": "tion Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0054", + "name": "lambda_p50_us", + "value": "3.12", + "raw": "p50 = 3.12 µs) and a Λ", + "context": "runtime enforces a 9-axis conjunctive quality gate (Λ₉ base p50 = 3.12 µs) and a Λ₁₀ platform layer with 0.49–0.59 ms/route overhead validated across ", + "source_file": "thesis.md", + "source_line": 83, + "source_id": "thesis_session" + }, + { + "id": "C0055", + "name": "receipt_build_p99_us", + "value": "50.7", + "raw": "p99 = 50.7 µs", + "context": "bers - **218/218 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ ba", + "source_file": "THESIS_BRIEF.md", + "source_line": 57, + "source_id": "thesis_brief" + }, + { + "id": "C0056", + "name": "ops_per_sec", + "value": "62764", + "raw": "62,764 ops/sec", + "context": "8 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µ", + "source_file": "THESIS_BRIEF.md", + "source_line": 57, + "source_id": "thesis_brief" + }, + { + "id": "C0057", + "name": "ops_per_sec", + "value": "74149", + "raw": "74,149 ops/sec", + "context": "0.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µs / composed p50 = 3.29 µs - 100% ρ-closure on **8,0", + "source_file": "THESIS_BRIEF.md", + "source_line": 58, + "source_id": "thesis_brief" + }, + { + "id": "C0058", + "name": "lambda9_base_p50_us", + "value": "3.12", + "raw": "Λ₉ base p50 = 3.12 µs", + "context": "/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µs / composed p50 = 3.29 µs - 100% ρ-closure on **8,000/8,000 paired ca", + "source_file": "THESIS_BRIEF.md", + "source_line": 59, + "source_id": "thesis_brief" + }, + { + "id": "C0059", + "name": "tests_passed", + "value": "218", + "raw": "218/218 tests", + "context": "boros v6.3.0 (released 2026-05-13) — production numbers - **218/218 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receip", + "source_file": "THESIS_BRIEF.md", + "source_line": 56, + "source_id": "thesis_brief" + }, + { + "id": "C0060", + "name": "tests_passed", + "value": "37", + "raw": "37/37 tests", + "context": "plit demo payload (verified live 2026-05-15 at 11:22 EDT) - 37/37 tests passing (33 ouroboros core + 4 a11oy covenant) - `bash scripts/doctrine-check.", + "source_file": "THESIS_BRIEF.md", + "source_line": 68, + "source_id": "thesis_brief" + }, + { + "id": "C0061", + "name": "http_calls", + "value": "24800", + "raw": "24,800 HTTP calls", + "context": "ρ-closure on **8,000/8,000 paired calls** - Platform v11: **24,800 HTTP calls validated**, Λ₁₀ overhead 0.49–0.59 ms/route, p99 ≤ 1.27 ms - Apache-2.0", + "source_file": "THESIS_BRIEF.md", + "source_line": 61, + "source_id": "thesis_brief" + }, + { + "id": "C0062", + "name": "receipt_build_p50_us", + "value": "11.5", + "raw": "Receipt build p50 = 11.5 µs", + "context": "e not. | 12–18 months — they have a runtime, not a kernel | Receipt build p50 = 11.5 µs · v11 DOI [`zenodo.20119582`](https://doi.org/10.5281/zenodo.2", + "source_file": "master_evolution_memo.md", + "source_line": 81, + "source_id": "master_memo" + }, + { + "id": "C0064", + "name": "receipt_build_p99_us", + "value": "50.7", + "raw": "p99 = 50.7 µs", + "context": "218 / 218 passing** | | Receipt build | p50 = **11.5 µs** · p99 = 50.7 µs · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | |", + "source_file": "master_evolution_memo.md", + "source_line": 36, + "source_id": "master_memo" + }, + { + "id": "C0065", + "name": "ops_per_sec", + "value": "62764", + "raw": "62,764 ops/sec", + "context": "g** | | Receipt build | p50 = **11.5 µs** · p99 = 50.7 µs · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | | Λ₉ base | p50 =", + "source_file": "master_evolution_memo.md", + "source_line": 36, + "source_id": "master_memo" + }, + { + "id": "C0066", + "name": "ops_per_sec", + "value": "74149", + "raw": "74,149 ops/sec", + "context": "s · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | | Λ₉ base | p50 = 3.12 µs | | Λ₉ composed | p50 = **3.29 µs** | | ρ-closu", + "source_file": "master_evolution_memo.md", + "source_line": 37, + "source_id": "master_memo" + }, + { + "id": "C0067", + "name": "tests_passed", + "value": "37", + "raw": "37/37 tests", + "context": "ic-facing Replit demo (`replit_a11oy_demo`) currently shows 37/37 tests passing. The upstream runtime is **218/218**. Every Series A diligence visitor", + "source_file": "master_evolution_memo.md", + "source_line": 141, + "source_id": "master_memo" + }, + { + "id": "C0068", + "name": "tests_passed", + "value": "218", + "raw": "218/218 tests", + "context": "astructure. **Success metric:** the Replit demo URL shows \"218/218 tests · v6.3.0 · OpenSSF 8.2\" with the same badge as the canonical repo, refreshed", + "source_file": "master_evolution_memo.md", + "source_line": 152, + "source_id": "master_memo" + }, + { + "id": "C0070", + "name": "receipt_build_p50_us", + "value": "11.5", + "raw": "Receipt build p50=11.5 µs", + "context": "rg/doc/draft-morrow-sogomonian-exec-outcome-attest/00/)). | Receipt build p50=11.5 µs, 218/218 tests, v11 DOI: [10.5281/zenodo.20119582](https://doi.o", + "source_file": "pm_memo.md", + "source_line": 54, + "source_id": "pm_memo" + }, + { + "id": "C0072", + "name": "ops_per_sec", + "value": "62764", + "raw": "62,764 ops/sec", + "context": "Claim:** Receipt build p50 = 11.5 µs, verify p50 = 10.4 µs, 62,764 ops/sec, 218/218 runtime tests, ρ-closure 8,000/8,000, byte-identical replay root `", + "source_file": "pm_memo.md", + "source_line": 81, + "source_id": "pm_memo" + }, + { + "id": "C0073", + "name": "tests_passed", + "value": "218", + "raw": "218/218 tests", + "context": "ian-exec-outcome-attest/00/)). | Receipt build p50=11.5 µs, 218/218 tests, v11 DOI: [10.5281/zenodo.20119582](https://doi.org/10.5281/zenodo.20119582)", + "source_file": "pm_memo.md", + "source_line": 54, + "source_id": "pm_memo" + }, + { + "id": "C0076", + "name": "tests_passed", + "value": "37", + "raw": "37/37 tests", + "context": "arity + Public Scorecard **Thesis:** The Replit demo shows 37/37 tests (ouroboros 33 + a11oy 4). The live runtime is 218/218. This delta undersells t", + "source_file": "pm_memo.md", + "source_line": 135, + "source_id": "pm_memo" + }, + { + "id": "C0077", + "name": "http_calls", + "value": "24800", + "raw": "24,800 HTTP calls", + "context": "ships a Λ₉-gated resource. | Ouroboros v6.3.0 platform v11: 24,800 HTTP calls, Λ₁₀ overhead 0.49–0.59 ms/route | | **Mastra** ([mastra.ai](https://mas", + "source_file": "pm_memo.md", + "source_line": 57, + "source_id": "pm_memo" + }, + { + "id": "C0078", + "name": "receipt_build_p50_us", + "value": "11.5", + "raw": "Receipt build p50 = 11.5 µs", + "context": "-witness guarantee baked into `ouroboros`'s runtime kernel. Receipt build p50 = 11.5 µs; verify p50 = 10.4 µs; 100% ρ-closure on 8,000/8,000 paired ca", + "source_file": "cto_memo.md", + "source_line": 78, + "source_id": "cto_memo" + }, + { + "id": "C0079", + "name": "ops_per_sec", + "value": "62764", + "raw": "62,764 ops/sec", + "context": "in · p50 = 11.5 µs build / 10.4 µs verify · 218/218 tests · 62,764 ops/sec | | `a11oy` | Covenant policy + approval queue | **HEART** (consent + pulse", + "source_file": "cto_memo.md", + "source_line": 18, + "source_id": "cto_memo" + }, + { + "id": "C0080", + "name": "tests_passed", + "value": "218", + "raw": "218/218 tests", + "context": "ss · receipt chain · p50 = 11.5 µs build / 10.4 µs verify · 218/218 tests · 62,764 ops/sec | | `a11oy` | Covenant policy + approval queue | **HEART** ", + "source_file": "cto_memo.md", + "source_line": 18, + "source_id": "cto_memo" + }, + { + "id": "C0081", + "name": "ops_per_sec", + "value": "62764", + "raw": "62,764 ops/sec", + "context": "218 / 218 passing | 100% | | Receipt build p50 | 11.5 µs | 62,764 ops/sec | | Receipt build p99 | 50.7 µs | — | | Receipt verify p50 | 10.4 µs | 74,14", + "source_file": "runtime_memo.md", + "source_line": 20, + "source_id": "runtime_memo" + }, + { + "id": "C0082", + "name": "ops_per_sec", + "value": "74149", + "raw": "74,149 ops/sec", + "context": "build p99 | 50.7 µs | — | | Receipt verify p50 | 10.4 µs | 74,149 ops/sec | | Λ₉ base p50 | 3.12 µs | — | | Λ₉ composed p50 | 3.29 µs | — | | ρ-closur", + "source_file": "runtime_memo.md", + "source_line": 22, + "source_id": "runtime_memo" + }, + { + "id": "C0083", + "name": "tests_passed", + "value": "218", + "raw": "218/218 tests", + "context": "ary (5 lines) The ouroboros v6.3.0 runtime is confirmed at 218/218 tests, receipt build p50 11.5 µs, Λ₉ composed p50 3.29 µs, and 100% ρ-closure — al", + "source_file": "runtime_memo.md", + "source_line": 404, + "source_id": "runtime_memo" + }, + { + "id": "C0084", + "name": "http_calls", + "value": "11", + "raw": "11 HTTP calls", + "context": "9 µs | — | | ρ-closure | 8,000 / 8,000 | 100% | | Platform v11 HTTP calls | 24,800 | — | | Λ overhead p50 per route | 0.49–0.59 ms | — | | Λ overhead ", + "source_file": "runtime_memo.md", + "source_line": 26, + "source_id": "runtime_memo" + }, + { + "id": "C0085", + "name": "ops_per_sec", + "value": "74149", + "raw": "74,149 ops/sec", + "context": "pt verify p50 | **10.4 µs** | | Receipt verify throughput | 74,149 ops/sec | | Λ₉ base p50 | 3.12 µs | | Λ₉ composed p50 | 3.29 µs | | ρ-closure | 100", + "source_file": "data_memo.md", + "source_line": 419, + "source_id": "data_memo" + } + ], + "dois": [ + { + "doi": "10.5281/zenodo.19944926", + "url": "https://doi.org/10.5281/zenodo.19944926", + "source_file": "thesis.md", + "source_line": 18, + "source_id": "thesis_session" + }, + { + "doi": "10.5281/zenodo.20119582", + "url": "https://doi.org/10.5281/zenodo.20119582", + "source_file": "thesis.md", + "source_line": 19, + "source_id": "thesis_session" + }, + { + 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], + "doctrine_clauses": [ + { + "id": "DC1", + "clause": "Byline must be 'Lutar, Stephen P.' — never 'Jr.' or 'Stephen Paul'", + "source": "THESIS_BRIEF.md" + }, + { + "id": "DC2", + "clause": "8 forbidden patterns: see doctrine.json (FP-1..FP-8)", + "source": "PM_LEAD_CHARTER_V2.md" + }, + { + "id": "DC3", + "clause": "License allow-list: Apache-2.0, MIT, BSD-3-Clause, CC-BY-4.0", + "source": "THESIS_BRIEF.md" + }, + { + "id": "DC4", + "clause": "ORCID: 0009-0001-0110-4173", + "source": "THESIS_BRIEF.md" + }, + { + "id": "DC5", + "clause": "9-axis Λ >= 0.90 conjunctive AND; moralGrounding + measurabilityHonesty >= 0.95", + "source": "THESIS_BRIEF.md" + }, + { + "id": "DC6", + "clause": "Public-only ingestion: no private data, no proprietary code", + "source": "THESIS_BRIEF.md" + }, + { + "id": "DC7", + "clause": "5x byte-identical replay (deterministic)", + "source": "THESIS_BRIEF.md" + }, + { + "id": "DC8", + "clause": "No hallucinations; every empirical claim cites a verifiable artifact", + "source": "THESIS_BRIEF.md" + } + ], + "source_files": [ + "thesis.md", + "THESIS_BRIEF.md", + "master_evolution_memo.md", + "pm_memo.md", + "cto_memo.md", + "runtime_memo.md", + "governance_memo.md", + "data_memo.md", + "anatomy_memo.md" + ], + "zenodo_corpus": [ + "10.5281/zenodo.19867281", + "10.5281/zenodo.19934129", + "10.5281/zenodo.19944926", + "10.5281/zenodo.19983066", + "10.5281/zenodo.20020841", + "10.5281/zenodo.20020846", + "10.5281/zenodo.20020845", + "10.5281/zenodo.20020848", + "10.5281/zenodo.20020849", + "10.5281/zenodo.20053148", + "10.5281/zenodo.20053163", + "10.5281/zenodo.20119582", + "10.5281/zenodo.20162352" + ], + "vertical_policies": [ + { + "policy_id": "academic", + "policy_name": "Academic / Research Integrity", + "version": "0.3.0", + "regulations": [ + "NIH NOT-OD-23-149", + "NSF PAPPG Chapter II.E", + "ORI Standards", + "COPE Guidelines" + ], + "required_attestors": [ + "principal_investigator", + "research_integrity_officer" + ], + 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"unregistered_model_version" + ], + "required_output_formats": [ + "csv_model_log", + "json_receipt", + "pdf_board_report" + ], + "retention_days": "2190", + "primitives_applicable": [ + "A1", + "A5", + "A6", + "A8", + "A9", + "A14", + "T5", + "T9", + "T10", + "TH1", + "TH2" + ], + "acv_range_usd": { + "low": 200000.0, + "mid": 800000.0, + "high": 2000000.0 + } + }, + { + "policy_id": "healthcare", + "policy_name": "Healthcare / Clinical AI", + "version": "0.3.0", + "regulations": [ + "HIPAA 45 CFR Part 164", + "FDA 21 CFR Part 11", + "FDA SaMD Guidance Q3 2023" + ], + "required_attestors": [ + "licensed_clinician", + "clinical_informatics_officer", + "hipaa_privacy_officer" + ], + "lambda_floors": { + "moralGrounding": 0.99, + "measurabilityHonesty": 0.99, + "consentBoundary": 0.99, + "informationIntegrity": 0.99, + "causalSeparability": 0.99 + }, + "forbidden_inputs": [ + "plaintext_phi", + "deidentification_not_verified" + ], + "required_output_formats": [ + "hl7_fhir_audit", + "json_receipt", + "pdf_clinical_audit" + ], + "retention_days": "2190", + "primitives_applicable": [ + "A1", + "A4", + "A5", + "A8", + "A9", + "A11", + "A12", + "T5", + "T7", + "T10", + "TH1" + ], + "acv_range_usd": { + "low": 150000.0, + "mid": 600000.0, + "high": 2000000.0 + } + }, + { + "policy_id": "insurance", + "policy_name": "Insurance", + "version": "0.3.0", + "regulations": [ + "NAIC Model Law 881", + "NY DFS Circular Letter 7 (2022)", + "NAIC AI Principles (2020)" + ], + "required_attestors": [ + "chief_actuary", + "ai_ethics_board", + "compliance_officer" + ], + "lambda_floors": { + "moralGrounding": 0.97, + "measurabilityHonesty": 0.99, + "informationIntegrity": 0.99, + "constructiveTransparency": 0.99, + "economicGrounding": 0.97 + }, + "forbidden_inputs": [ + "prohibited_rating_factors", + "non_actuarially_justified_proxies" + ], + "required_output_formats": [ + "csv_underwriting_log", + "json_receipt", + "pdf_state_filing" + ], + "retention_days": "1825", + 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"high": 1000000.0 + } + }, + { + "policy_id": "pharma", + "policy_name": "Pharma / Life Sciences R&D", + "version": "0.3.0", + "regulations": [ + "FDA 21 CFR Part 11", + "EMA Annex 11", + "ICH E6(R3) GCP", + "GxP" + ], + "required_attestors": [ + "qualified_person", + "gxp_compliance_officer", + "computational_scientist" + ], + "lambda_floors": { + "moralGrounding": 0.97, + "measurabilityHonesty": 1.0, + "informationIntegrity": 1.0, + "temporalConsistency": 0.99, + "constructiveTransparency": 1.0 + }, + "forbidden_inputs": [ + "non_gxp_validated_software_output", + "unversioned_model" + ], + "required_output_formats": [ + "ectd_submission_package", + "json_audit_trail", + "csv_gxp_log" + ], + "retention_days": "3650", + "primitives_applicable": [ + "A5", + "A6", + "A8", + "A10", + "A12", + "T5", + "TH2" + ], + "acv_range_usd": { + "low": 500000.0, + "mid": 2000000.0, + "high": 10000000.0 + } + }, + { + "policy_id": "public_sector", + "policy_name": "Public Sector / Civic AI", + "version": "0.3.0", + "regulations": [ + "EU AI Act Annex III", + "NYC Local Law 144 (2023)", + "NIST AI RMF 1.0", + "OMB M-24-10" + ], + "required_attestors": [ + "agency_ai_officer", + "civil_rights_officer", + "inspector_general" + ], + "lambda_floors": { + "moralGrounding": 0.99, + "measurabilityHonesty": 0.99, + "stakeholderAlignment": 0.99, + "constructiveTransparency": 1.0, + "adversarialRobustness": 0.95 + }, + "forbidden_inputs": [ + "biometric_data_without_explicit_consent", + "prohibited_social_scoring" + ], + "required_output_formats": [ + "json_public_audit_log", + "csv_bias_audit", + "pdf_annual_report" + ], + "retention_days": "3650", + "primitives_applicable": [ + "A1", + "A5", + "A8", + "A12", + "A13", + "T6", + "T10", + "TH1", + "TH3" + ], + "acv_range_usd": { + "low": 300000.0, + "mid": 1200000.0, + "high": 5000000.0 + } + } + ], + "proof_summary": { + "locked_proven": 8, + "locked_ids": [ + "F1", + "F4", + "F7", + "F11", + "F12", + "F18", + "F19", + "F22" + ], + "locked_count_theorem": "locked_count_eight", + "conjecture": [ + "F23" + ], + "note": "Honesty ledger mirrored from canonical knowledge.json: Conjecture 1 (Λ-uniqueness / F23) is OPEN — conditional theorem only; unconditional uniqueness is machine-FALSE under A1-A5." + } +}